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4332034140 = 2235724334267
BaseRepresentation
bin1000000100011010…
…11001100001011100
3102011220111010122220
410002031121201130
532333000043030
61553510305340
7212231453100
oct40215314134
912156433586
104332034140
111923358405
12a0a958250
13540657315
142d14a5900
151a54b0a10
hex10235985c

4332034140 has 144 divisors (see below), whose sum is σ = 14438616192. Its totient is φ = 967123584.

The previous prime is 4332034121. The next prime is 4332034141. The reversal of 4332034140 is 414302334.

It is a self number, because there is not a number n which added to its sum of digits gives 4332034140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4332034141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109287 + ... + 143553.

It is an arithmetic number, because the mean of its divisors is an integer number (100268168).

Almost surely, 24332034140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4332034140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7219308096).

4332034140 is an abundant number, since it is smaller than the sum of its proper divisors (10106582052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4332034140 is a wasteful number, since it uses less digits than its factorization.

4332034140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34336 (or 34327 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 4332034140 is about 65818.1900389246. The cubic root of 4332034140 is about 1630.1614679394.

Adding to 4332034140 its reverse (414302334), we get a palindrome (4746336474).

The spelling of 4332034140 in words is "four billion, three hundred thirty-two million, thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 49 60 70 84 86 98 105 129 140 147 172 196 210 215 245 258 294 301 420 430 490 516 588 602 645 735 860 903 980 1204 1290 1470 1505 1806 2107 2580 2940 3010 3612 4214 4515 6020 6321 8428 9030 10535 12642 18060 21070 25284 31605 34267 42140 63210 68534 102801 126420 137068 171335 205602 239869 342670 411204 479738 514005 685340 719607 959476 1028010 1199345 1439214 1473481 1679083 2056020 2398690 2878428 2946962 3358166 3598035 4420443 4797380 5037249 5893924 6716332 7196070 7367405 8395415 8840886 10074498 10314367 14392140 14734810 16790830 17681772 20148996 20628734 22102215 25186245 29469620 30943101 33581660 41257468 44204430 50372490 51571835 61886202 72200569 88408860 100744980 103143670 123772404 144401138 154715505 206287340 216601707 288802276 309431010 361002845 433203414 618862020 722005690 866406828 1083008535 1444011380 2166017070 4332034140